100763361720 has 768 divisors, whose sum is σ = 405070848000. Its totient is φ = 22041040896.

The previous prime is 100763361703. The next prime is 100763361731. The reversal of 100763361720 is 27163367001.

100763361720 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 6 + 33 + 617 + 2 + 0 = 666.

It is a super-2 number, since 2×100763361720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 440014566 + ... + 440014794.

It is an arithmetic number, because the mean of its divisors is an integer number (527436000).

Almost surely, 2^100763361720 is an apocalyptic number.

100763361720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100763361720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202535424000).

100763361720 is an abundant number, since it is smaller than the sum of its proper divisors (304307486280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100763361720 is a wasteful number, since it uses less digits than its factorization.

100763361720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 100763361720 in words is "one hundred billion, seven hundred sixty-three million, three hundred sixty-one thousand, seven hundred twenty".